JEE Main 2026 — Statistics Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
If the mean deviation about the median of the numbers is 500, then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C4
Step-by-step explanation
The sequence has 1000 terms.
The median is .
The mean deviation is .
For : deviation = , giving .
By symmetry, the sum for is also .
Thus , so and .
The median is .
The mean deviation is .
For : deviation = , giving .
By symmetry, the sum for is also .
Thus , so and .
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This is a previous-year question from JEE Main 2026, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.